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+// -*- C++ -*-
+//===--------------------------- numeric ----------------------------------===//
+//
+// The LLVM Compiler Infrastructure
+//
+// This file is dual licensed under the MIT and the University of Illinois Open
+// Source Licenses. See LICENSE.TXT for details.
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef _LIBCPP_EXPERIMENTAL_NUMERIC
+#define _LIBCPP_EXPERIMENTAL_NUMERIC
+/*
+ experimental/numeric synopsis
+
+// C++1z
+namespace std {
+namespace experimental {
+inline namespace fundamentals_v2 {
+
+ // 13.1.2, Greatest common divisor
+ template<class M, class N>
+ constexpr common_type_t<M,N> gcd(M m, N n);
+
+ // 13.1.3, Least common multiple
+ template<class M, class N>
+ constexpr common_type_t<M,N> lcm(M m, N n);
+
+} // namespace fundamentals_v2
+} // namespace experimental
+} // namespace std
+
+ */
+
+#include <experimental/__config>
+#include <numeric>
+#include <type_traits> // is_integral
+#include <limits> // numeric_limits
+
+#if !defined(_LIBCPP_HAS_NO_PRAGMA_SYSTEM_HEADER)
+#pragma GCC system_header
+#endif
+
+_LIBCPP_PUSH_MACROS
+#include <__undef_macros>
+
+#if _LIBCPP_STD_VER > 11
+
+_LIBCPP_BEGIN_NAMESPACE_LFTS_V2
+
+template <typename _Result, typename _Source, bool _IsSigned = is_signed<_Source>::value> struct __abs;
+
+template <typename _Result, typename _Source>
+struct __abs<_Result, _Source, true> {
+ _LIBCPP_CONSTEXPR _LIBCPP_INLINE_VISIBILITY
+ _Result operator()(_Source __t) const noexcept
+ {
+ if (__t >= 0) return __t;
+ if (__t == numeric_limits<_Source>::min()) return -static_cast<_Result>(__t);
+ return -__t;
+ }
+};
+
+template <typename _Result, typename _Source>
+struct __abs<_Result, _Source, false> {
+ _LIBCPP_CONSTEXPR _LIBCPP_INLINE_VISIBILITY
+ _Result operator()(_Source __t) const noexcept { return __t; }
+};
+
+
+template<class _Tp>
+_LIBCPP_CONSTEXPR _LIBCPP_HIDDEN
+inline _Tp __gcd(_Tp __m, _Tp __n)
+{
+ static_assert((!is_signed<_Tp>::value), "" );
+ return __n == 0 ? __m : _VSTD_LFTS_V2::__gcd<_Tp>(__n, __m % __n);
+}
+
+
+template<class _Tp, class _Up>
+_LIBCPP_CONSTEXPR _LIBCPP_INLINE_VISIBILITY
+common_type_t<_Tp,_Up>
+gcd(_Tp __m, _Up __n)
+{
+ static_assert((is_integral<_Tp>::value && is_integral<_Up>::value), "Arguments to gcd must be integer types");
+ static_assert((!is_same<typename remove_cv<_Tp>::type, bool>::value), "First argument to gcd cannot be bool" );
+ static_assert((!is_same<typename remove_cv<_Up>::type, bool>::value), "Second argument to gcd cannot be bool" );
+ using _Rp = common_type_t<_Tp,_Up>;
+ using _Wp = make_unsigned_t<_Rp>;
+ return static_cast<_Rp>(_VSTD_LFTS_V2::__gcd(
+ static_cast<_Wp>(__abs<_Rp, _Tp>()(__m)),
+ static_cast<_Wp>(__abs<_Rp, _Up>()(__n))));
+}
+
+template<class _Tp, class _Up>
+_LIBCPP_CONSTEXPR _LIBCPP_INLINE_VISIBILITY
+common_type_t<_Tp,_Up>
+lcm(_Tp __m, _Up __n)
+{
+ static_assert((is_integral<_Tp>::value && is_integral<_Up>::value), "Arguments to lcm must be integer types");
+ static_assert((!is_same<typename remove_cv<_Tp>::type, bool>::value), "First argument to lcm cannot be bool" );
+ static_assert((!is_same<typename remove_cv<_Up>::type, bool>::value), "Second argument to lcm cannot be bool" );
+ if (__m == 0 || __n == 0)
+ return 0;
+
+ using _Rp = common_type_t<_Tp,_Up>;
+ _Rp __val1 = __abs<_Rp, _Tp>()(__m) / _VSTD_LFTS_V2::gcd(__m, __n);
+ _Rp __val2 = __abs<_Rp, _Up>()(__n);
+ _LIBCPP_ASSERT((numeric_limits<_Rp>::max() / __val1 > __val2), "Overflow in lcm");
+ return __val1 * __val2;
+}
+
+_LIBCPP_END_NAMESPACE_LFTS_V2
+
+#endif /* _LIBCPP_STD_VER > 11 */
+
+_LIBCPP_POP_MACROS
+
+#endif /* _LIBCPP_EXPERIMENTAL_NUMERIC */